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Understanding the acceleration phenomenon via high-resolution differential equations 期刊论文
MATHEMATICAL PROGRAMMING, 2022, 卷号: 195, 期号: 1-2, 页码: 79-148
作者:  Shi, Bin;  Du, Simon S.;  Jordan, Michael, I;  Su, Weijie J.
收藏  |  浏览/下载：73/0  |  提交时间：2023/02/07
Convex optimization  First-order method  Polyak's heavy ball method  Nesterov's accelerated gradient methods  Ordinary differential equation  Lyapunov function  Gradient minimization  
A Novel Synchronization Protocol for Nonlinear Stochastic Dynamical Networked Systems 期刊论文
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, 2021, 卷号: 51, 期号: 5, 页码: 2676-2686
作者:  Gu, Haibo;  Wang, Xiong;  Liu, Kexin;  Lu, Jinhu
收藏  |  浏览/下载：173/0  |  提交时间：2021/06/01
Synchronization  Protocols  Stochastic processes  Artificial neural networks  Adaptive systems  Perturbation methods  Complex dynamical network  Lyapunov function  networked system  stochastic perturbation  synchronization  
Self-Triggered Scheduling for Boolean Control Networks 期刊论文
IEEE TRANSACTIONS ON CYBERNETICS, 2021, 页码: 11
作者:  Meng, Min;  Xiao, Gaoxi;  Cheng, Daizhan
收藏  |  浏览/下载：128/0  |  提交时间：2022/04/02
Probabilistic logic  Lyapunov methods  Switches  Stability criteria  Scheduling  Manganese  Genetics  Boolean control networks (BCNs)  Lyapunov function  self-triggered scheduling  semitensor product  
On limiting behavior of stationary measures for stochastic evolution systems with small noise intensity 期刊论文
SCIENCE CHINA-MATHEMATICS, 2020, 卷号: 63, 期号: 8, 页码: 1463-1504
作者:  Chen, Lifeng;  Dong, Zhao;  Jiang, Jifa;  Zhai, Jianliang
收藏  |  浏览/下载：164/0  |  提交时间：2020/09/23
stationary measure  Lyapunov function  limit measure  support  Birkhoff center  stochastic evolution system  
A criterion on a repeller being a null set of any limit measure for stochastic differential equations 期刊论文
SCIENCE CHINA-MATHEMATICS, 2020, 页码: 18
作者:  Chen, Lifeng;  Dong, Zhao;  Jiang, Jifa
收藏  |  浏览/下载：167/0  |  提交时间：2020/05/24
stationary measure  limit measure  support  Lyapunov function  repelling limit cycle  repelling quasi-periodic orbits  
Quantitative concentration of stationary measures 期刊论文
PHYSICA D-NONLINEAR PHENOMENA, 2019, 卷号: 399, 页码: 73-85
作者:  Ji, Min;  Shen, Zhongwei;  Yi, Yingfei
收藏  |  浏览/下载：162/0  |  提交时间：2020/01/10
Fokker-Planck equation  Stationary measure  Qualitative concentration  Stochastic stability  Lyapunov function  
Vibration control and stability analysis of a nanobeam with boundary prescribed performance 期刊论文
INTERNATIONAL JOURNAL OF CONTROL, 2019, 页码: 10
作者:  Yue, Xinling;  He, Wei;  Meng, Tingting;  Song, Yuhua
收藏  |  浏览/下载：150/0  |  提交时间：2020/01/10
Nanobeam  boundary control  Lyapunov function  vibration  output constraints  
Boundary control for a vibrating string with asymmetrically constrained outputs 期刊论文
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2018, 卷号: 28, 期号: 3, 页码: 798-807
作者:  Meng, Tingting;  He, Wei;  Liu, Jin-Kun
收藏  |  浏览/下载：127/0  |  提交时间：2018/07/30
asymmetrical output constraints  barrier Lyapunov function  boundary control  flexible string  vibration control  
PID controller design for second order nonlinear uncertain systems 期刊论文
SCIENCE CHINA-INFORMATION SCIENCES, 2017, 卷号: 60, 期号: 2, 页码: 13
作者:  Zhao, Cheng;  Guo, Lei
收藏  |  浏览/下载：102/0  |  提交时间：2018/07/30
PID controller  nonlinear uncertain systems  global stability  Lyapunov function  asymptotic regulation  
Robust Consensus of Nonlinear Multiagent Systems With Switching Topology and Bounded Noises 期刊论文
IEEE TRANSACTIONS ON CYBERNETICS, 2016, 卷号: 46, 期号: 6, 页码: 1276-1285
作者:  Chen, Yao;  Dong, Hairong;  Lu, Jinhu;  Sun, Xubin;  Liu, Kexin
收藏  |  浏览/下载：107/0  |  提交时间：2018/07/30
Multiagent system (MAS)  nonlinear transmission  nonsmooth Lyapunov function  robust consensus  switching topology